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Simplifying -8 = -2(8x + 5) + -5(1 + -3x) Reorder the terms: -8 = -2(5 + 8x) + -5(1 + -3x) -8 = (5 * -2 + 8x * -2) + -5(1 + -3x) -8 = (-10 + -16x) + -5(1 + -3x) -8 = -10 + -16x + (1 * -5 + -3x * -5) -8 = -10 + -16x + (-5 + 15x) Reorder the terms: -8 = -10 + -5 + -16x + 15x Combine like terms: -10 + -5 = -15 -8 = -15 + -16x + 15x Combine like terms: -16x + 15x = -1x -8 = -15 + -1x Solving -8 = -15 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -8 + x = -15 + -1x + x Combine like terms: -1x + x = 0 -8 + x = -15 + 0 -8 + x = -15 Add '8' to each side of the equation. -8 + 8 + x = -15 + 8 Combine like terms: -8 + 8 = 0 0 + x = -15 + 8 x = -15 + 8 Combine like terms: -15 + 8 = -7 x = -7 Simplifying x = -7
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